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Finding the Fourth Proportional to 97,778.28, 134,934 and 53,066.28

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Solution

The fourth proportional to 97,778.28, 134,934 and 53,066.28 is: 73,231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,778.28 : 134,934 = 53,066.28 : x
  2. Step 2: Convert to fraction form
    97,778.28/134,934 = 53,066.28/x
  3. Step 3: Cross multiply
    97,778.28x = 134,934 × 53,066.28
  4. Step 4: Simplify right side
    97,778.28x = 7,160,445,425.52
  5. Step 5: Solve for x
    x = 7,160,445,425.52/97,778.28
  6. Step 6: Final answer
    x = 73,231.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.